Monotone operators and closed countable sets
G. Kassay, Cornel Pintea, Szilárd Csaba László · Optimization · 2011
In this article we prove that the local increasing monotonicity of an operator on the complement of a certain type of closed set implies its global increasing monotonicity. As applications we obtain some global injectivity/convexity results based on local injectivity/convexity properties and some extra analytic requirements.